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Finding the Fourth Proportional to 5,180.95, 7,767.78 and 2,404.68

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Solution

The fourth proportional to 5,180.95, 7,767.78 and 2,404.68 is: 3,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.95 : 7,767.78 = 2,404.68 : x
  2. Step 2: Convert to fraction form
    5,180.95/7,767.78 = 2,404.68/x
  3. Step 3: Cross multiply
    5,180.95x = 7,767.78 × 2,404.68
  4. Step 4: Simplify right side
    5,180.95x = 18,679,025.21
  5. Step 5: Solve for x
    x = 18,679,025.21/5,180.95
  6. Step 6: Final answer
    x = 3,605.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.